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Simplifying 0 = 3x2 + 18x + -48 Reorder the terms: 0 = -48 + 18x + 3x2 Solving 0 = -48 + 18x + 3x2 Solving for variable 'x'. Combine like terms: 0 + 48 = 48 48 + -18x + -3x2 = -48 + 18x + 3x2 + 48 + -18x + -3x2 Reorder the terms: 48 + -18x + -3x2 = -48 + 48 + 18x + -18x + 3x2 + -3x2 Combine like terms: -48 + 48 = 0 48 + -18x + -3x2 = 0 + 18x + -18x + 3x2 + -3x2 48 + -18x + -3x2 = 18x + -18x + 3x2 + -3x2 Combine like terms: 18x + -18x = 0 48 + -18x + -3x2 = 0 + 3x2 + -3x2 48 + -18x + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 48 + -18x + -3x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(16 + -6x + -1x2) = 0 Factor a trinomial. 3((2 + -1x)(8 + x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Subproblem 2
Set the factor '(8 + x)' equal to zero and attempt to solve: Simplifying 8 + x = 0 Solving 8 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x = 0 + -8 x = 0 + -8 Combine like terms: 0 + -8 = -8 x = -8 Simplifying x = -8Solution
x = {2, -8}
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